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Is there a relationship between household size and water usage? what does the r value tell us in our least squares regression line?Is this a spurious or casual relationship? Are there any mediating variables that help explain the story?

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Learning about how much water is used on a day to day basis in a household

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My point was on 4 people household and it was the second to highest, at 587 gallons

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From the scatter plot you are able to see the amount of people in a household and the amount of water that the householder used. The equation of that line or also known as the least squares regression line I say=79.1x+97.65

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The slope of the line of best fit is 791x and the y intercept is 97.65. So that means approximately that if you have 79.1 people in a household the amount of water usage will increase by 97.65 gallons. looking at the amount of gallons my household used compared to the LSRL, my family is just above average for water usage. So we don't leave behind a lot of water compared to the others that waste a lot of water. This means that my family uses most of our water and we don't waste a lot and the water that is wasted typically is not a lot.

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The r2 values tell you that the data cannot justify our correlation between household size and water usage. This is because they have no connections since the error is too high therefore it has a bad connection. Several statements about water usage and the number of people in a household can be made:

1: Water usage generally increases with the number of people in a household due to more showers, laundry, etc.

2: Larger households typically consume more water overall, though individual consumption may vary based on factors like location and lifestyle.

3: Water-efficient practices and technologies can help reduce water usage regardless of household size.

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There are a few more statements that can be made but I don't want to get into it.

I believe there is a casual relationship. I say this because water usage and the number of people in a household do have a connection with each other but our r values are saying our data has high error and therefore we are missing some variables to our data. So if we find those variables our data could be fixed.

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Yes there are some mediating variables that led me to my decision. After some lateral reading I learned a few things. One of those things is that we have a big population and the more people that use water the scarier it will be. Take the drought we were in. For example, we had no rain two years ago and people used a lot of water until we were given restrictions on water laws so we could save water. Another thing I learned is that an increase in population fuels an increase in food and needs. Agriculture uses tremendous amounts of water and increases food demand and that requires more farming. Also food production uses and wastes a lot of water as well.

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We aren't able to find the cities water usage because the R^2 value isn't going to be able to find the actual answer of the equation